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Finding the Fourth Proportional to 780.20, 1,075.70 and 499.94

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Solution

The fourth proportional to 780.20, 1,075.70 and 499.94 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.20 : 1,075.70 = 499.94 : x
  2. Step 2: Convert to fraction form
    780.20/1,075.70 = 499.94/x
  3. Step 3: Cross multiply
    780.20x = 1,075.70 × 499.94
  4. Step 4: Simplify right side
    780.20x = 537,785.46
  5. Step 5: Solve for x
    x = 537,785.46/780.20
  6. Step 6: Final answer
    x = 689.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.